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the three degrees of a triangle are in the ratio of 5:5:8. What is the largest angle in degrees?

Sagot :

Answer:

largest angle = 80°

Step-by-step explanation:

sum the parts of the ratio 5 : 5 : 8

5 + 5 + 8 = 18 parts

The sum of the 3 angles in a triangle is 180°

divide 180° by the number of parts in the ratio to find the value of one part

180° ÷ 18 = 10° ← value of 1 part of the ratio

The largest part of the ratio is 8 and represents the largest angle , then

8 × 10° = 80°

The largest angle in the triangle is 80°